Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 = wceq 1540
∈ wcel 2105 ×
cxp 5618 ↾ cres 5622
‘cfv 6479 Basecbs 17009
distcds 17068 TopOpenctopn 17229 MetOpencmopn 20693 TopSpctps 22187
∞MetSpcxms 23576 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1796 ax-4 1810 ax-5 1912
ax-6 1970 ax-7 2010 ax-8 2107
ax-9 2115 ax-ext 2707 |
This theorem depends on definitions:
df-bi 206 df-an 397
df-or 845 df-3an 1088 df-tru 1543 df-fal 1553 df-ex 1781 df-sb 2067 df-clab 2714 df-cleq 2728 df-clel 2814 df-rab 3404 df-v 3443 df-dif 3901 df-un 3903 df-in 3905 df-ss 3915 df-nul 4270 df-if 4474 df-sn 4574 df-pr 4576 df-op 4580 df-uni 4853 df-br 5093 df-opab 5155 df-xp 5626 df-res 5632 df-iota 6431 df-fv 6487 df-xms 23579 |
This theorem is referenced by: imasf1oxms
23751 ressxms
23787 prdsxmslem2
23791 tmsxpsmopn
23799 xmsusp
23831 cmetcusp1
24623 minveclem4a
24700 minveclem4
24702 qqhcn
32239 rrhcn
32245 rrexthaus
32255 dya2icoseg2
32545 sitmcl
32618 |